Question

How do you differentiate `f(x)=(3x+2)(2x^2-5x+1)` using the product rule?

Answer 1

I found `f'(x) =18x^2-22x-7`

Explanation:

Let us consider the Product Rule:

apply it to our case:

`f'(x)=3(2x^2-5x+1)+(3x+2)(4x-5)=`
`=6x^2-15x+3+12x^2-15x+8x-10=`
`=18x^2-22x-7`